Triangle Seminars
Wednesday, 15 Mar 2017
Algebraic properties of the monopole formula
Marcus Sperling
(Vienna U.)
Abstract:
In this talk, I will discuss how the two geometric notions "fan" and "monoid" can be very fruitful for the understanding of the monopole formula for 3d N=4 gauge theories.
After a brief reminder of the monopole formula, I will introduce the matter fan and reorganise the monopole formula accordingly. I then discuss the resulting benefits such as:
(1) Explicit expressions for the Hilbert series built from well-studied constituents.
(2) Proof that the order of the pole at t=1 and t Γ’β β Γ’ΛΕΎ equals the complex or quaternionic dimension of the Coulomb branch.
(3) Identification of a sufficient set of chiral ring generators.
In this talk, I will discuss how the two geometric notions "fan" and "monoid" can be very fruitful for the understanding of the monopole formula for 3d N=4 gauge theories.
After a brief reminder of the monopole formula, I will introduce the matter fan and reorganise the monopole formula accordingly. I then discuss the resulting benefits such as:
(1) Explicit expressions for the Hilbert series built from well-studied constituents.
(2) Proof that the order of the pole at t=1 and t Γ’β β Γ’ΛΕΎ equals the complex or quaternionic dimension of the Coulomb branch.
(3) Identification of a sufficient set of chiral ring generators.
Posted by: IC
Thursday, 16 Mar 2017
Quantum Geometry and Non-Geometric Backgrounds
Richard Szabo
(Heriot-Watt U.)
Abstract:
Recent advances in non-geometric string theory suggest that locally non-geometric flux compactifications can be understood in terms of nonassociative deformations of spacetime geometry. We will review some of these developments and how they shed light on properties of non-geometric strings, and explain some new results concerning how these structures lift to non-geometric M-theory.
Recent advances in non-geometric string theory suggest that locally non-geometric flux compactifications can be understood in terms of nonassociative deformations of spacetime geometry. We will review some of these developments and how they shed light on properties of non-geometric strings, and explain some new results concerning how these structures lift to non-geometric M-theory.
Posted by: IC
Symmetry and String theory
Menika Sharma
(Harish-Chandra)
Abstract:
String theory in the tensionless limit is expected to have a large gauge symmetry. By recasting string theory on the AdS background as a generalization of Vasiliev's theory of massless higher-spin fields, it has become possible to understand the nature of this symmetry. In this talk, I will first give an overview of three-dimensional Vasiliev theory and its dual CFT. I will then discuss the current understanding of the symmetry algebra of string theory as well as some open problems related to it.
String theory in the tensionless limit is expected to have a large gauge symmetry. By recasting string theory on the AdS background as a generalization of Vasiliev's theory of massless higher-spin fields, it has become possible to understand the nature of this symmetry. In this talk, I will first give an overview of three-dimensional Vasiliev theory and its dual CFT. I will then discuss the current understanding of the symmetry algebra of string theory as well as some open problems related to it.
Posted by: QMW